Interpreting binary neutron star mergers: describing the binary neutron star dynamics, modelling gravitational waveforms, and analyzing detections

Gravitational waves emitted from the coalescence of neutron star binaries open a new window to probe matter and fundamental physics in unexplored, extreme regimes. To extract information about supranuclear inside stars properties compact binary systems, robust theoretical prescriptions are required. We give an overview general features dynamics gravitational wave signal during coalescence. briefly describe existing analytical numerical approaches investigate highly dynamical, strong-field region merger. review waveform approximants discuss possible advantages shortcomings individual models, their application for real gravitational-wave data analysis.